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122073105 = 35711105691
BaseRepresentation
bin1110100011010…
…11000000010001
322111200221211010
413101223000101
5222222314410
620040241133
73011414160
oct721530021
9274627733
10122073105
11629a8370
1234a701a9
131c3a170b
14122d93d7
15aab4c20
hex746b011

122073105 has 32 divisors (see below), whose sum is σ = 243514368. Its totient is φ = 50731200.

The previous prime is 122073103. The next prime is 122073137. The reversal of 122073105 is 501370221.

It is not a de Polignac number, because 122073105 - 21 = 122073103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122073103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51691 + ... + 54000.

It is an arithmetic number, because the mean of its divisors is an integer number (7609824).

Almost surely, 2122073105 is an apocalyptic number.

122073105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122073105 is a deficient number, since it is larger than the sum of its proper divisors (121441263).

122073105 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 122073105 = (721530021)8.

122073105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105717.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 122073105 is about 11048.6698294410. The cubic root of 122073105 is about 496.0666113821.

The spelling of 122073105 in words is "one hundred twenty-two million, seventy-three thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 105691 317073 528455 739837 1162601 1585365 2219511 3487803 3699185 5813005 8138207 11097555 17439015 24414621 40691035 122073105